Home
Class 12
MATHS
If the function f(x) ={{:(x+1," if " x l...

If the function `f(x) ={{:(x+1," if " x le 1),(2x+1," if " 1 lt xle2):} and g(x) = {{:(x^2,-1lexle2),(x+2,2lexle3):}` then the number of roots of the equation f(g(x)) = 2 is

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Examine the continuity of the function f(x)={(x^3-3, if ,x le 2),( x^2+1, if , xgt2):} .

Check the continuity of the function f(x)=2x+3 at x=1

If f(x) = {{:(x^3+x^2,"for " 0lexle2),(x+2," for " 2ltxle4):} then find the even and odd extensions of f(x).

Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int_1^4f(x)dx

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find f(2)